(Doh)

find X when sin Xdegress = -0.866, cos Xdegrees = -0.5

and 0 < X < 360

nd the answer is240 degrees

i don't knw hw u get it........................

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- Jun 8th 2009, 12:06 AMhi00000trig
(Doh)

find X when sin Xdegress = -0.866, cos Xdegrees = -0.5

and 0 < X < 360

nd the answer is**240 degrees**

i don't knw hw u get it...__.....................__ - Jun 8th 2009, 12:14 AMsmmxwell
When sin x = -0.866= (sqrt3)/2, basic angle of x = 60 degrees. Since sin x is negative, x is in 3rd and 4th quadrant, hence x is 180+60=240, 360-60=300.

Given cos x is -0.5, basic angle is 60 degrees. Since cos is negative, x is located in 2nd and 3rd quadrant, 180-60=120, 180+60=240.

Therefore, the anwser that satisfies both equations are 240 degrees.